SOLUTION: When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 57 batteries and determine whether each is within sp
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Question 1195264: When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 57 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 3 batteries do not meet specifications. A shipment contains 4000 batteries, and 2% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
probability 0 batteries do not meet is .98^57=0.3161
probability 1 won't is 57*0.02*.98^56=0.3678
probability 2 won't is 57C2*0.02^2*0.98^55=0.2101
that sum is 0.8940, so out of 4000 would expect 3576 to be accepted. One can decide whether will almost all or will many are the right terms to use.
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